Weibull分布损伤失效率模型常应力下的参数估计.pdf

维普资讯 应用概率统计 第二十卷 ChineseJournalofApplied Probability 第二期 2004年 5月 andStatisticsVo1．20No．2M ay2004 Param eterEstim ation Tam peredFailureRateM odelunderaNormalStress木 ． xuxIAOLING (DepartmentofMathematics，ShanghaiJiaotongUniversity，Shanghai，200030) FEIHELIANG (CollegeofMathematicalSciences，ShanghaiNormalUniversity，Shanghai，200234) Abstract BhattacharyyaandSoejoeti(1989)proposedtheTFR(TamperedFailureRate)modelforstep—stressac— celeratedlifetests．Onstep—stresscompletelyacceleratedtestoccasions，thispaperpointsoutthatthestrategy providedin[1】J[2】and[5】ofrseekingparameterestimatesunderanormalstressusingtheusualregression analysisisunreasonable．Andthepaperalsooffersamethodofestimatingprama etersunderanormalstress． Keywords： Weibulldistribution，TFRmodel，CEmodel，MLE，Monte．Cralosimulation，step—stresscom— pletelyacceleratedtest，normalstress． AMSSubjectClassification：62GO5．62NO2． §1． Introduction Productsaregrowingmoreandmorereliableandconsequently，ithasbecomeaheavyburden intesting timeandexpenditureforenterprisestoassessthereliabilityofproductsusingtraditionallifetestingmethods． Infact，general testsare，onmanyoccasions，completelyfeasible，orwhenfinallythetestoutcomesareobtained atgreatcost，theproducthas alreadybeenrenewedandthetestconclusionsturnouttobeuseless．Asaresult， theALT (AcceleratedLifeTesting)methodhasbeengrowingrapidlyfromthe1960’sandstatisticalanalysis methodshavebeendevelopingaccordin